Question

A family is paying to heat their house in Chicago, Illinois. Calculate the cost of heating the house
for one winter. Assume the following:
• The house has 2,000 square feet of living space.

• 100,000 BTUs of heat per square foot are required to heat the house for the winter.

• natural gas is available at a cost of $6.00 per thousand cubic feet

• one cubic foot of natural gas supplies 1,000 BTUs of heat energy

• the furnace in the house is 70% efficient


.
Natural gas is available at a cost of $6.00 per thousand cubic feet.
One cubic foot of natural gas supplies 1,000 BTUs of heat energy.
• The furnace in the house is 70 percent efficient.

Answer 1

If the natural gas is available at a cost of $6.00 per thousand cubic feet. The cost of heating the house is: $1,714.

Cost of heating the house

First step is to calculate number of cubic feet of natural gas required to heat the house for one winter.

Number of cubic feet=(2000 ft²)× (100,000 BTU/ft³) ×(1 ft³÷1000 BTU)×(1 BTU(in)÷0.7 BTU (out))

Number of cubic feet = 285,714 ft³

Second step is to calculate the cost of heating the house

Cost of heating the house=(285,714 ft³)× ($6.00÷1000 ft³)

Cost of heating the house=$1,714

Inconclusion the cost of heating the house is: $1,714.

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